in how many ways can a supermarket chain select 3 out of 12 possible sites for construction of a new supermarket?
2 answers:
Answer: The total number of ways is 1320.
Step-by-step explanation: We are given to find the number of ways in which a supermarket chain selects 3 sites out of 12 possible sites for construction of a new supermarket.
Since the supermarket chain has 12 possible options and they are to select 3 out of them.
So, for first site, there are 12 options,
for second site, there are 11 options
and
for third site, there are 10 options.
Therefore, the total number of ways is given by
Thus, the total number of ways is 1320.
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Step-by-step explanation:
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Answer:
The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.34% and 60.66%, which means that we are 99% sure that the true percentage of US adult Twitter users who get some news is in this interval.
Step-by-step explanation:
Confidence interval:
A confidence interval has the following format:
In which M is the sample mean, z is related to the confidence level and s is the standard error.
55% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.2%.
This means that
99% confidence level
So , z is the value of Z that has a pvalue of
, so
.
Lower bound of the interval:
Upper bound:
The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is between 49.34% and 60.66%, which means that we are 99% sure that the true percentage of US adult Twitter users who get some news is in this interval.